Kitchen worker Jean Lindor told the newspaper a generator allowed staff to cook but did not provide the facility with air conditioning.
Other patients are in critical condition.
Mary Dellaratta, 94, evacuated her Naples condo with the help of police the day before the storm hit.
Some were brought to Memorial Regional Hospital, just across the street from the nursing center, and were treated for for respiratory distress, dehydration and heat-related issues, said Dr. The workers get them from a nearby hospital. Some 10,000 Keys residents stayed put when the storm hit and may ultimately need to be evacuated, according to officials.
Jorge Carballo, the nursing home's administrator, said in a previous statement that the facility and its staff had "diligently prepared for the impact of Hurricane Irma" and were fully cooperating with authorities.
In the week leading up to Irma, Gov. Scott held a series of conference calls with emergency managers as well as hospital and nursing home officials.
Hurricane Irma's furious march through Florida not only darkened millions of homes, it also flooded roads, piling them with debris and blocking off access to neighborhoods.
According to officials, the building has been without power since Hurricane Irma struck earlier this week and may have had air-conditioning issues.
"When the power goes out generators can be a lifesaver, but used without good ventilation generators can be deadly", Cooper said in the release. The center immediately contacted Florida Power & Light and continued to follow up with them for status updates on when repairs would be made.
The ex-husband of 71-year-old victim Gail Nova said her devastated family believes the facility should lose its license.
Investigators and loved ones are now seeking answers after eight people died in relation to a Hollywood nursing home that lost power.
The stepped-up checks came after the deaths at The Rehabilitation Center at Hollywood Hills, which had been left without air conditioning in the wake of Hurricane Irma.
The Centers for Medicare and Medicaid Services, which regulates nursing homes, gives the Hollywood centre a below-average rating, two stars on its five-star scale.
Police officers have been assigned to check the other 42 assisted living facilities in the area "as a precautionary measure", Sanchez added.
Families looking for information can call the hospital hotline at 954-265-1074.
On his visit to Anguilla, Boris Johnson, the Foreign Secretary, said: "There are things we are going to have to do in the long term to make this island more economically self-sufficient and even more resilient, and we will certainly be thinking about that".